Problems 9-18, The graph of a polynomial function y = f(x), is shown at right. Identify the properties and characteristics in the exercises. 9. State the zeros of the function and their multiplicities. Explain how you know. x = -3 x = 2 x = 5 (x+3)(x-2)²(x+5) passes ↑ passes bounces back 11. Domain: (-00,00) R 17. 13. State the interval(s) where f(x) > 0 15. On what interval(s) of x is the graph increasing? (-∞, -1.5) and (2,4) . Relative minimum value(s): (2,0) 19. Absolute maximum value: (-1.5, 12) 21. Point(s) of inflections: (6,0) (3, 1) (?) 7 (-1.5,12) 10. State the degree and name of function. Justify your answer. 3rd degree cubic function 12. Range [12, 0) 14.. State the interval(s) where f(x) < 0 16. On what interval(s) of x is the graph decreasing? (-1.5,2) (4,0) 13. Relative maximum value(s): (-1.5,12) (4,3) 20. Absolute nimum value: N/A 22. Intervals where fix) is concave up: (6,3) (4,3) 23. Intivals where f(x) is concave down: (-∞0, 6) and (3,00) 4

A table of values for a polynomial function is given. All the x-intercepts/ zeros of this functionare in the table.

The graph of the polynomial function is given. Select the algebraic equation that matches the graph. y C a Select one: O a. y = k(x +a)(x - b) (x- c), k, a, b, c > 0 O b. y = k(x - a)(x + b)² (x + c), k, a, b, c > 0 O c. y= k(x+ a)(x - b)² (x- c), k, a, b, c > 0 O d. y= k(x- a)(x +b) (x +c)°, k, a, b, c > 0 |

Write a polynomial that is best represented by the graph. (-7,0) (-6, 0) 10 | (1.0) y = x – 12x² + 29x + 42 y = x³ + 12x² + 29x – 42 O A) B.) y = x – 14x? + 55x – 42 y = x³ + 14x² + 55x + 42